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natima [27]
3 years ago
7

In one month you earned $100 delivering newspapers if you deposit the money in a savings account with a simple interest rate of

12% how much interest will you earn in six months
Mathematics
1 answer:
saw5 [17]3 years ago
6 0

In 6 months, Simple interest of $6 will be earned for investing $100.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Principal (P) = $100, SI rate (R) = 12%, Time (T) = 6 months = 0.5 years

Step 2:

Calculate Simple Interest by the formula SI = PRT/100

⇒ SI = 100 × 12 × 0.5/100

⇒ SI = $6

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2. Create an estimated probability distribution for the time teens spend texting.
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Answer:

<u><em>Hours</em></u>          0     0.5    1.0     1.5    2.0    2.5    3.0    3.5    4.0    4.5    5.0

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Problem Statement:

The table shows the number of hours, to the nearest half hour per day, that teens spend texting according to a random sample of 870 teenagers aged 13–18 in a large urban city.

Hours          0     0.5    1.0   1.5  2.0   2.5  3.0  3.5  4.0  4.5  5.0

Frequency  170  82    220  153  92   58   40    15  12   18    10

Step-By-Step Explanation:

As we need the estimated probability distribution for teens spending time texting, we will be needing the total sample size.

As given in the problem statement,

<em><u>Total Sample Size = 870</u></em>

To calculate estimated probability distribution, we will convert the frequency sample into estimated probability distribution, for that:

Estimated Probability Distribution (Frequency*)=\frac{Frequency.Sample.Size.of.that.hour}{Total.Sample.Size}

<u><em>For Example:</em></u>

Estimated probability distribution that teens spend 0 hours texting=\frac{170}{870} =0.20

Similarly

Estimated probability distribution that teens spend 0.5 hours=\frac{82}{870} =0.09

Using the same formula we get:

<em><u>Hours</u></em>          0     0.5    1.0     1.5    2.0    2.5    3.0    3.5    4.0    4.5    5.0

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(<em>Note: Frequency* is the estimated probability distribution)</em>

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